3 years ago

Find the Percent of increase:

Mathematics

1 answer:

BigorU [14]3 years ago

8 0

Answer:

Step-by-step explanation:

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Two trains, train a and train , weigh a total of 466 tons. Train A is heavier than train b. The difference of there weights is 3

AlexFokin [52]

Answer: A = 396 tons

B = 70 tons

Step-by-step explanation:

From the question,

Weight of A + Weight of B = 466

Weight of A - Weight of B = 326

A + B = 466 ......... i

A - B = 326 ..........ii

Subtract equation ii from I

2B = 140

B = 140/2

B = 70 tons

A = 466 - 70

A = 396 tons

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

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Step-by-step explanation:

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